However, the presence of additional fields and/or a cosmological constant, may allows to construct solutions with a variety of topologies of the event horizon beyond spherical symmetry (see, for instance, [1]}, [2]}, [3]}, [4]}, [5]}) even in four dimensions. This is the case of the black string presented here. Interestingly, the presence of additional fields living on the extended directions of the string has shown to be very useful to stabilize this type of solutions [6]}. In the present work we also discuss some relevant issues about the stability of our solutions focusing on the role played by the parameter \(N\) .
